Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant I. 3 sin 2x !! cos 2x tan 2x olo

Q: Show that Sinx+sin3x+sin5x/cosx+cos3x+cos5x=tan3x For all x for which tan 3x is dedined. Does this…

A: given that                      sinx+sin3x+sin5xcosx+cos3x+cox5x=tan3x and we have to proof…

Q: VERIFY THE IDENTITIES

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Q: 10 - The value of x²J₁(x) x³ J(x) dx is. x-0 a) 8 (2) b) 81₁(2) c) 8/₂ (2) d. 8], (2)

A: To express: J4x  in terms of J0x and J1x Bessel's function: Jnx=∑r=0∞-1rx2n+2r1Γn+r+1 r! Series…

Q: S- (A) True B) False tan r²dr=2x tan.x²

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Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

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Q: sin* x – cos* x = 1 x – cos? x

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Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: If z = tan X 2 then sin x =

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Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

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Q: sin' t – cos' t Prove tan?t – 1 cos? t

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Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

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Q: tan(C + A)tan(C – A)tan(B+ D) = tan(D – B)

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Q: If 4 sin ¹xcos ¹x 4 COS X + 5 7 Find sin² 2x 5 + 1 12 cos² 2x 7 = ?

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Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

Q: If cos x = sin 2x cos 2x tan 2x 4 csc x < 0, then ;

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Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°